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1. • CommentRowNumber1.
   • CommentAuthorTim_Porter
   • CommentTimeMar 6th 2010
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownThere has been a lot of discussion on the café about (oo,1)-logic. Linear logic is very categorical, yet also has a neat interpretation as a resource sensitive logic, see [[linear logic]]. The aspect of Petri nets is neat and linked with symmetric monoidal categories (Petri nets are monoids: A new algebraic foundation for net theory J Meseguer, U Montanari, SRI Int, M Park - Logic in Computer Science, 1988,) and some later papers as well. This looks ripe for a categorification process! Has any one any thoughts or ?sources ? It may have a link with ideas on the Kahler differential thread here as well.

   There has been a lot of discussion on the café about (oo,1)-logic. Linear logic is very categorical, yet also has a neat interpretation as a resource sensitive logic, see linear logic.

   The aspect of Petri nets is neat and linked with symmetric monoidal categories (Petri nets are monoids: A new algebraic foundation for net theory J Meseguer, U Montanari, SRI Int, M Park - Logic in Computer Science, 1988,) and some later papers as well.

   This looks ripe for a categorification process! Has any one any thoughts or ?sources ? It may have a link with ideas on the Kahler differential thread here as well.